Fixation probabilities describe the likelihood of changing from one pure state to another after one mutation occurs, conditional on mutations being rare enough. Following [1]}, under games with two or more strategies they can be used to construct a simplified Markov chain between pure states, and allow the computation of the long-term stationary distribution over them [2]}, [3]}, [4]}, [5]}. The validity of these approximations under rare mutations has been analysed analytically in [6]} and through comparison with simulations in [2]}, [3]}. The concerns raised over the existence of mixed stable states leading to quasi-stationary distributions [9]}, [10]}, [11]} have been tackled in this context by considering higher orders approximations including those states as configurations of interest [12]}.
